Divide (2x^4++5x^3+x-1) by (x^2-2x+1) using polynomial long division

, and . Subtract this from the dividend to get a remainder of

, and . Subtracting this from the previous remainder gives a new remainder,

, and . Subtract this from the previous remainder to get

does not divide , and we've found, one step at a time, that

Another way to do is involves noticing the denominator is

so you can instead carry out two rounds of long division, dividing by both times.

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

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